Greatest Common Factor of 3318/33, 7301/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3318/33, 7301/992

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 3318/33,7301/992

Given fractions are 3318/33,7301/992

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 3318,7301

Greatest Common Factor of Numerators i.e. GCF of 3318,7301 is 7 .

LCM of Denominators means LCM of 33,992 as per the given fractions.

LCM of 33,992 is 32736 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3318,7301

GCF of Fractions 3318/33,7301/992 is 7/32736

7 3318, 7301
474, 1043

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 3318,7301 By Matching Biggest Common Factor Method

Greatest Common Factor of 3318,7301 By Matching Biggest Common Factor Method

Factors of 3318

List of positive integer factors of 3318 that divides 3318 without a remainder.

1,2,3,6,7,14,21,42,79,158,237,474,553,1106,1659,3318

Factors of 7301

List of positive integer factors of 7301 that divides 7301 without a remainder.

1,7,49,149,1043,7301

Greatest Common Factor

We found the factors 3318,7301 . The biggest common factor number is the GCF number.
So the greatest common factor 3318,7301 is 7.

Lets's calculate LCM of 33,992

Given numbers has no common factors except 1. So, there LCM is their product i.e 32736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/32736

Therefore, the GCF of Fractions 3318/33,7301/992 is 7/32736

Least Common Multiple of 33,992 with GCF Formula

Least Common Multiple of 33,992 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 33,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,992) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(33,992) x common factors =1 x 1 = 1

LCM(33,992) = ( 33 × 992 ) / 1

LCM(33,992) = 32736 / 1

LCM(33,992) = 32736


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3318/33, 7301/992

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 3318/33, 7301/992?

Answer: GCF of Numerators as per given numbers 3318/33, 7301/992 is

GCF of Numerators i.e. for 3318,7301 is 7

LCM of denominators i.e. for 33,992 is 32736.

Thus, GCF of Fractions is 7/32736.Finally, GCF of Fractions for 3318/33, 7301/992 is 7/32736.